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Finding the Fourth Proportional to 4,297.44, 5,929.92 and 2,434.44

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Solution

The fourth proportional to 4,297.44, 5,929.92 and 2,434.44 is: 3,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.44 : 5,929.92 = 2,434.44 : x
  2. Step 2: Convert to fraction form
    4,297.44/5,929.92 = 2,434.44/x
  3. Step 3: Cross multiply
    4,297.44x = 5,929.92 × 2,434.44
  4. Step 4: Simplify right side
    4,297.44x = 14,436,034.44
  5. Step 5: Solve for x
    x = 14,436,034.44/4,297.44
  6. Step 6: Final answer
    x = 3,359.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.